Please work it out and not just give me the answer or I wont

Please work it out and not just give me the answer or I won\'t give any points. I have the answer key already. I just want to know how to do them.

Please work it out and not just give me the answer or I won\'t give any points. I have the answer key already. I just want to know how to do them.

Solution

1. option a,as y is a constant. 2. option a,as for a given positive x,y can have two values and as these values just difffer in their sign,they are symmetric w.r.t. origin. 3. option d. 5x-3*x^2=0 x*(5-3x)=0 x=0 or x=5/2 4. option d. as square root can be positive or negative. so the right term should be the modulus of x. 5. option c. as |3x+1|=3x+1 if x>=-1/3 |3x+1|=-3x-1 if x<-1/3 so -5-|3x+1| >=0 is the requirement for domain. analysing all the parts, we get option c as the right choice